1.

Show that m=(f)/(u+f) for a lens.

Answer»

SOLUTION :By definition, `m=(V)/(u)` so that `v=m u`.
`therefore (1)/(f)=(1)/(v)-(1)/(u)`
`(1)/(f) = (1)/(m u)-(1)/(u)`
`(1)/(f)+(1)/(u)= (1)/(m u)`
`(u+f)/(uf)=(1)/(m u)`
`therefore m=(f)/(u+f)`


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